Least Common Multiple (LCM) of 74 and 86
The least common multiple (LCM) of 74 and 86 is 3182.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 74 and 86?
First, calculate the GCD of 74 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 86 = 0 remainder 74 |
| 2 | 86 ÷ 74 = 1 remainder 12 |
| 3 | 74 ÷ 12 = 6 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 165 | 5280 |
| 142 and 166 | 11786 |
| 107 and 51 | 5457 |
| 49 and 89 | 4361 |
| 107 and 160 | 17120 |